Properties of Quadratic Functions

Front

What is a quadratic function?

Back

Front

What is the standard form of a quadratic function?

Back

Front

What is the vertex of a parabola?

Back

The vertex of a parabola is the highest or lowest point on the graph, depending on whether it opens upwards or downwards.

Front

How can you determine the number of solutions of a quadratic equation from its graph?

Back

The number of solutions corresponds to the number of times the graph intersects the x-axis: 0 solutions (no intersection), 1 solution (tangent), or 2 solutions (crosses the axis).

Front

What is the y-intercept of a quadratic function?

Back

Front

What are x-intercepts?

Back

Front

What does it mean if a parabola opens upwards?

Back

If a parabola opens upwards, it has a minimum point (the vertex) and the function values increase as you move away from the vertex.

Front

What does it mean if a parabola opens downwards?

Back

If a parabola opens downwards, it has a maximum point (the vertex) and the function values decrease as you move away from the vertex.

Front

What is the axis of symmetry in a parabola?

Back

Front

What is the discriminant of a quadratic equation?

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